Continuous-variable quantum games

Jie Zhou, Лей Ма, Yun Li

Zhe Yang, Xian Zhang

Zhe Yang, Qingbin Gong

Lei Ma

Quantum games has becoming a new arisen branch of the quantum information. Du etc. utilize a two mode electromagnetic fileds in discussing the continuous-variable quantum games. From the model, they realized the entanglement in the game which might lead superior consults than the coresponding classical games. A multiplayer quantum game that the players can access to a continuous set of strategies is studied. By utilizing a kind of multi-mode electromagnetic fileds and let every two mode of the fields entangled pairwise. We discovered, base on this scheme, the conclusion above could be extended to arbitrary number of participators. With the increasing of entangle parameter, The sum of the profits will also increase monotonously. When each two-mode electromagnetic fileds entangle to maximum, i.e. EPR state, they will also attain highest profits.

Nengfa Wang, Zhe Yang

Abstract This paper investigates the two-turn quantum games with continuous-variable strategies by adopting the Li-Du-Massar method and Frackiewicz quantum scheme. We find that the entanglement level of Li-Du-Massar quantum scheme has a negative effect on the quantum equilibrium payoffs, and the entanglement level of Frackiewicz quantum scheme has a positive effect on the quantum equilibrium payoffs. Our analysis allows us to add a new look at the quantum games.

Hong Mei Guo, Juheng Zhang, Gary J. Kœhler